Wave Equations with Point Interactions in Finite Energy Spaces
نویسنده
چکیده
Given the abstract wave equation φ̈−∆αφ = 0, where ∆α is the Laplace operator with a point interaction of strength α, we define and study W̄α, the associated wave generator in the phase space of finite energy states. We prove the existence of the phase flow generated by W̄α, and describe its most relevant properties with particular emphasis on the associated symplectic structure and scattering theory.
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